Regarding the recent thread on [Ezra Sims] 72-tET notation:

Paul Erlich wrote...

>the errors in harmonics above 18 can be both larger than 7 cents and can

lead to inconsistencies with JI

Joe Monzo wrote...

>In my opinion, other than using the ratios or prime-factors, this 72-Eq

notation is the most accurate way of notating complex JI music, and it's

much simpler than ratio/prime-factor.

I have used a variant of Ezra Sims� notation that adds a crosshatch* to the

existing (�arrow�, �half-arrow�, and �square root�) symbols.** This grew out

of a (rather quick, and largely theoretical) attempt to achieve a

�utilitarian�, all purpose pitch continuum notation (i.e., one that would

best approximate [most...] any _practical_, cents equivalent notational

contingency of ET or JI) that would still require learning just one main set

of (readily learnable) symbols�

While I believe that these 144tET symbols would accomplish that end (all

approximations would be _theoretically_ true within � four and one twelfth

cents), the conspicuous question remains as to whether the results would

achieve the idealized approximate targets�*** For although I find it very

easy to memorize one main set of three symbols (the �arrow�, �half-arrow�,

and �square root�), learning to _confidently navigate_ approximate eight and

a third cent alterations of eighth tones is quite another matter indeed!

In short - Are the pitch gradations so fine (again, even as a idealized

approximations...) as to cause more �errors of incertitude� than they would

finer representations of various intonation systems? [Is it _only_ a

conceptually idyllic expansion of the original 72 tET Sims notation?]

Dan

*Some might find the crosshatches �horizontalness� too easily absorbed by

the ledger lines� perhaps something along the lines of a small circle (much

like a degree symbol) could better accomplish the same task?

**Special microtonal accidentals that denote the specific variance in which

a pitch differs from the standard notational target pitches of twelve tone

equal temperament.

***Sixth tone notation [at least Sims] already has a very convincing �track

record.�